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Finding the Fourth Proportional to 15,217.60, 22,815.60 and 6,901.60

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Solution

The fourth proportional to 15,217.60, 22,815.60 and 6,901.60 is: 10,347.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,217.60 : 22,815.60 = 6,901.60 : x
  2. Step 2: Convert to fraction form
    15,217.60/22,815.60 = 6,901.60/x
  3. Step 3: Cross multiply
    15,217.60x = 22,815.60 × 6,901.60
  4. Step 4: Simplify right side
    15,217.60x = 157,464,144.96
  5. Step 5: Solve for x
    x = 157,464,144.96/15,217.60
  6. Step 6: Final answer
    x = 10,347.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.